Finding the Fourth Proportional to 3,799.56, 5,698.86 and 1,026.44

Step by Step Solution

1. Step 1: Write the proportion equation
   3,799.56 : 5,698.86 = 1,026.44 : x
2. Step 2: Convert to fraction form
   3,799.56/5,698.86 = 1,026.44/x
3. Step 3: Cross multiply
   3,799.56x = 5,698.86 × 1,026.44
4. Step 4: Simplify right side
   3,799.56x = 5,849,537.86
5. Step 5: Solve for x
   x = 5,849,537.86/3,799.56
6. Step 6: Final answer
   x = 1,539.53